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1022110001020 = 2254113127135111
BaseRepresentation
bin11101101111110101000…
…00001110011101111100
310121201020121021211222201
432313322200032131330
5113221240130013040
62101314552321244
7133562560442263
oct16677240163574
93551217254881
101022110001020
113645244a3a09
121461126a3224
13754ccb53494
1437682a5d5da
151b8c2872a9a
hexedfa80e77c

1022110001020 has 96 divisors (see below), whose sum is σ = 2223806441472. Its totient is φ = 394355520000.

The previous prime is 1022110000991. The next prime is 1022110001071. The reversal of 1022110001020 is 201000112201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1022110000988 and 1022110001006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29093265 + ... + 29128375.

It is an arithmetic number, because the mean of its divisors is an integer number (23164650432).

Almost surely, 21022110001020 is an apocalyptic number.

1022110001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022110001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111903220736).

1022110001020 is an abundant number, since it is smaller than the sum of its proper divisors (1201696440452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1022110001020 is a wasteful number, since it uses less digits than its factorization.

1022110001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35563 (or 35561 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1022110001020 its reverse (201000112201), we get a palindrome (1223110113221).

The spelling of 1022110001020 in words is "one trillion, twenty-two billion, one hundred ten million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 131 164 205 262 271 410 524 542 655 820 1084 1310 1355 2620 2710 5371 5420 10742 11111 21484 22222 26855 35111 35501 44444 53710 55555 70222 71002 107420 111110 140444 142004 175555 177505 222220 351110 355010 702220 710020 1439551 1455541 2879102 2911082 4599541 5758204 5822164 7197755 7277705 9199082 9515081 14395510 14555410 18398164 19030162 22997705 28791020 29110820 38060324 45995410 47575405 91990820 95150810 188581181 190301620 377162362 390118321 754324724 780236642 942905905 1246475611 1560473284 1885811810 1950591605 2492951222 3771623620 3901183210 4985902444 6232378055 7802366420 12464756110 24929512220 51105500051 102211000102 204422000204 255527500255 511055000510 1022110001020